Answer:
C
Step-by-step explanation:
In a right triangle, the side opposite the right angle is the largest side as the right angle represents the largest angle in the triangle. Therefore, as 17.5 is opposite the right angle, we can say that AB²+10²=17.5², and √(17.5²-10²)=AB = 14.4
Using sohcahtoa, we can establish that
sin(∠C) = opposite/hypotenuse = 14.4/17.5, and
arcsin(14.4/17.5) = ∠C = 55°
Because the angles in a right triangle add up to 180 degrees, we can say that ∠A+∠B+∠C = 180°, so ∠A + 90 + 55 = 180 and ∠A = 35°
PLS HELP ILL GIVE U BRAINLIST
A vector is 2.5 kilometers per hour at a bearing of of 50° West of North.
Find the magnitude of its vertical component.
lyl = v sin ©
A. lyl = - 1.9
B. lyl = 1.6
C. lyl = 2.5
D. lyl = 50°
B. |y| = 1.6
Step-by-step explanation:A sketch of the vector is attached to this response.
As shown, the vector lies on the second quadrant and its horizontal and vertical components are given by x and y respectively.
Where;
|x| = v cos θ -----------------(i)
|y| = v sin θ -----------------(ii)
and
v = magnitude of the vector = 2.5km/hr
θ = angle that the vector makes with the +x axis = 90° + 50° = 140°
To get the magnitude of the vector's vertical component
Substitute these values into equation(ii) as follows;
|y| = 2.5 sin 140°
|y| = 2.5 x 0.6428
|y| = 1.607
|y| ≅ 1.6 km/hr
Therefore, the vertical component of the vector has a magnitude of 1.6 km/hr.
If the HCF and LCM of two numbers are 14 and 840 respectively . If one number is 42 Then find another one.
Answer:
HCF X LCM= product of two numbers
14 x 840 = 42 x other number
other number= 14x840/42=280
X 8. From the given Venn-diagram, list the elements of the following sets, a) U b) XU Y and XUY c) X Y and X d) X - Y and X-Y e) Y - X and Y - X 11 15
Answer:
where is the Venn diagram plz insert Venn diagram then I should solve
pleaseee answer quickly
Answer:
4. 3 units
5. Triangle
6. (0,2)
Step-by-step explanation:
4. The distance between the x axis and the point (8,3) is 3 units
5. Triangle will be formed if the points A(-3, 0), B (0,3) and C (3,0) are joined together
6. Since the point lie on the y-axis, its x co-ordinate will be zero and the point will be (0,2)
Point A is a representation of which number on the number line?
Can someone please help I really need these points
Given:
Two chords intersect each other inside the circle.
To find:
The value of x.
Solution:
According to intersecting chords theorem, if two chords intersect each other inside the circle, then the product of two segments of one chord is equal to the product of two segments of second chord.
In the given circle,
[tex]AE\times CE=BE\times DE[/tex]
[tex](3x-11)\times (5x-4)=(x+2)\times (-x+17)[/tex]
[tex]15x^2-12x-55x+44=-x^2+17x-2x+34[/tex]
[tex]15x^2-67x+44+x^2-15x-34=0[/tex]
[tex]16x^2-82x+10=0[/tex]
Divide both sides by 2.
[tex]8x^2-41x+5=0[/tex]
Splitting the middle term, we get
[tex]8x^2-40x-x+5=0[/tex]
[tex]8x(x-5)-1(x-5)=0[/tex]
[tex](8x-1)(x-5)=0[/tex]
Using zero product property, we get
[tex](8x-1)=0[/tex] or [tex](x-5)=0[/tex]
[tex]x=\dfrac{1}{8}[/tex] or [tex]x=5[/tex]
For [tex]x=\dfrac{1}{8}[/tex], the side AE is negative. So, [tex]x=\dfrac{1}{8}[/tex] is not possible.
Therefore, the required solution is [tex]x=5[/tex].
Choose the correct answer A, B, C or D.
Half of the perimeter of a rectangular piece of land is equal to 21 m
and its length is twice its width. Given that 1 m2 of the piece of land
costs 17.25 million VND. If someone wants to buy it, he or she has to
pay:
А
1621.5 million VND
B
1690.5 million VND
Sc
С
1725 million VND
D
1759.5 million VND
Answer:
B. 1690.5 million VND
Step-by-step explanation:
Half of the perimeter of a rectangular piece of land is equal to 21 m
The full perimeter of the Land = 2 × 21m
= 42 m
Step 1
Find the Length and Width of the rectangle
Perimeter of a rectangle = 2L + 2W
Length is twice its width.
L = 2W
Hence:
42 = 2(2W ) + 2W
42 = 4W + 2W
42 = 6W
W = 42/6
W = Width = 7m
L = Length = 2W
L = 2 × 7
L = 14m
Step 2
Find the Area of the Land
Area of the rectangle = Length × Width
= 14m × 7m
= 98m²
Step 3
Given that 1 m² of the piece of land
costs 17.25 million VND. If someone wants to buy it, he or she has to
pay:
1m² = 17.25 million VND
98m² = x
Cross Multiply
1 m² × x = 98m² × 17.25 million VND
x = 1690.5 million VND
Option B is the correct answer
If q||r, solve for x
Answer:
12
Step-by-step explanation:
Since they are parallel then
(7x - 8) + (11x - 28) = 180
18x - 36 = 180
18x = 216
x = 12
How many points need to be removed from this graph
so that it will be a function?
0 1 point
0 2 points
O 3 points
-5-4-3-2-1
112
O 4 points
Answer:
I think it is 2 points for this .
Brian invests £1500 into his bank account. He receives 2% per year simple interest. How much will Brian have after 3 years? Give your answer to the nearest penny where appropriate
Answer:
1590
Step-by-step explanation:
1500 x 0.02
= 30
30 x 3
= 90
1500+90 = 1590
(ps.. there was an equation for this i just forgot it, you can look it up and check it)
Compare. Use >, <, or =.
123,546,789 >, <, or =, 123,456,789
please help
Step-by-step explanation:
123,546,789 > 123,456,789
#CMIIW? What is the solution of a system defined by 5x + 2y = 30 and -5x + 4y = 0? 0 (0, 30) O (6, 15) O (4,5) 0 (6,0)
Answer:
(4,5)
Step-by-step explanation:
Hi there!
We are given the system of equations:
5x+2y=30
-5x+4y=0
and we need to find the solution
there are 3 ways to solve a system of equations, but let's use the elimination method, where we will add the systems together to clear one variable out, solve for the other variable, and use the value of the solved variable to find the other variable
When we clear a variable, the coefficients need to be opposites (ex. 2 and -2). In this case, the coefficients in front of x are 5 and -5 in the first and second equation respectively
5x+2y=30
-5x+4y=0
add the equations together
6y=30
divide both sides by 6
y=5
we found the value of y
now we need to find the value of x
substitute 5 as y into either one of the equations (ex. the first one) to solve for x
5x+2(5)=30
multiply
5x+10=30
subtract 10 from both sides
5x=20
divide both sides by 5
x=4
so the answer is x=4, y=5; as a point, it's (4,5)
Hope this helps! :)
cual es el area de 9 cm y la medidad de 20 cm??
Answer:
9x20 = 180
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CAN SOMEONE PLEASE HELP ME WITH THIS?
Answer:
It would be 4 or C.
Step-by-step explanation:
Hope this helps!
Good Luck!
:)
Can someone answer this?
=============================================================
Explanation:
There are n = 7 sides to this polygon (so it's a heptagon)
The interior angles add up to 180(n-2) = 180*(7-2) = 900 degrees.
So that means,
69+284+62+62+242+81+a = 900
800+a = 900
a = 900-800
a = 100
Please help me solve my problem!!!
Answer: I think it is A or C
hope this helps!
Step-by-step explanation:
A cone has a height of 30 centimeters and a radius of 20 centimeters. In terms of , what is the volume of the cone?
Answer:
[tex] V_{cone} = 4000\pi \: {cm}^{3} [/tex]
Step-by-step explanation:
Height of the cone (h) = 30 cm
Radius of the cone (r) = 20 cm
[tex]V_{cone} = \frac{1}{3} \pi {r}^{2} h \\ \\ = \frac{1}{3} \pi \: {(20)}^{2} (30) \\ \\ = \pi(400)(10) \\ \\ V_{cone} = 4000\pi \: {cm}^{3} [/tex]
consider the polygon shown. determine the value of y.
Answer:
70 degrees
Step-by-step explanation:
It's a whole 540 degrees
So y = 70 degrees
Kristian buys a meal for $8.40 calculate the fraction of the $72 after buying the computer game which costed $32.40 and the meal. give ur answer in its lowest terms
Answer:
After buying the meal and the computer game, Kristian has 43.33% of his money left.
Step-by-step explanation:
Given that Kristian buys a meal for $ 8.40, to calculate the fraction of the $ 72 after buying the computer game which cost $ 32.40 and the meal, the following calculation must be performed:
72 = 100
8.40 + 32.40 = X
72 = 100
40.80 = X
40.80 x 100/72 = X
4,080 / 72 = X
56.66 = X
100 - 56.66 = 43,333
Therefore, after buying the meal and the computer game, Kristian has 43.33% of his money left.
what is the value of w to the nearest degree
please help me
No guess
Answer:
C. -7 or C. Negative seven
What is the product of the 4th square number and the 4th square number
Answer:
4×4=16
Step-by-step explanation:
four squared is a two dimension polygon with a four equal side of four length unit.
Answer:
4×4=16
Step-by-step explanation:
Volume How many fluid ounces are in each size?
1 cup = 8 oz. 1pint = 2 cups. 1 quart = 2 pints. 1 gallon = 4 quart
Half gallon = __________fl oz.
Solve using the Applicable Variation
The height of a TV varies directly with its width. If a TV with a width of 16 inches has a height of 9 inches, find the width of a TV with a height of 20.25 inches.
I'm so lost :'(
Answer:
36
Step-by-step explanation:
9/16 = 20.25/?
16x20.25÷9= 36
25 + 8 (7y - 3) + 3y
Answer:
59y+1
Step-by-step explanation:
25 + 8 (7y - 3) + 3y
Distribute
25+56y-24+3y
Combine like terms
59y+1
A yard in the shape of a square measures a ft on each side. A flower bed is dug up in the shape of a triangle with a/4 ft height of the triangle and a/2 ft base of the triangle. How much yard area is left over?
Answer:
[tex]A_X=\frac{15x^2}{16}[/tex]
Step-by-step explanation:
From the question we are told that:
Base of Flower bed [tex]b=\frac{x}{2}[/tex]
Height of Flower bed [tex]h=\frac{x}{4}[/tex]
Generally the equation for Area of garden left A_X is mathematically given by
[tex]A_X=Area\ of\ Garden\ A_g\ - Area\ of\ flower\ bed\ A_f[/tex]
Where
[tex]A_f=b*h[/tex]
[tex]A_f=\frac{1}{2}*\frac{x}{2}*\frac{x}{4}[/tex]
[tex]A_f=\frac{x^2}{16}[/tex]
Therefore
[tex]A_X= A_g - A_f[/tex]
[tex]A_X=x^2-\frac{x^2}{16}[/tex]
[tex]A_X=\frac{15x^2}{16}[/tex]
3.9 X 7 =. hurry pls
Answer:
27.3
Step-by-step explanation:
3.9 x 7
=>(4 - 0.1) x 7 (USING DISTRIBUTIVE PROPERTY)
=>28 - 0.7
=>27.3
There are 4 apples, 6 pear, 3 oranges and 9 peaches in a basket. You randomly pick three fruits from the basket. What is the probability that the first fruit is apple, the second is a peach and the last is not an orange if you do not replace the first and second fruits? Enter your answer as a decimal rounded to the nearest thousandth
The probability that the last one is not an orange if you do not replace the first and second fruits will be equal to 0.054.
What is Probability?Probability is calculated as the proportion of favorable events to all potential scenarios of an event. The proportion of positive results, or x, for an experiment with 'n' outcomes can be expressed.
As per the given information in the question,
The total number of fruits as per the data is,
4 apples + 6 pear + 3 oranges + 9 peaches = 21 fruits.
As per the statement, the first fruit is from 21 fruits.
There are 3 apples, so the probability will be,
3/21 = 1/7
The second fruit is from 20 fruits,
21 - 1 = 20
There are 9 peaches, so the probability will be,
9/20
The third fruit is from 19 fruits, so there are 16,
19 - 3 = 16
These fit the bill (not oranges), so the probability will be,
16/19.
So,
1/7 × 9/20 × 16/19
= 36/665
= 0.054
To know more about Probability:
https://brainly.in/question/54143022
#SPJ2
A+b=25
What is the value of 2a + 2b + 4
Answer:
THE ANSWER IS 54
Step-by-step explanation:
Pls answer this correct ;( don't answer it nonsenses. :) Thanks!
A. in 20 tries, Riza Beat Jennifer 5 times. What is the probability that Jennifer won?
B. In 50 tries, Mark won over Martin 26 times. What is the probability that Mark Won?
Answer:
jennifer won 15 time and mark won 24
if the answer is wrong i am really sorry